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111022113313 is a prime number
BaseRepresentation
bin110011101100101101…
…1110000001000100001
3101121120022200201020201
41213121123300020201
53304333130111223
6123000341105201
711010142251436
oct1473133601041
9347508621221
10111022113313
11430a20a7a61
12196250b8201
13a6141aa397
145532c49b8d
152d4bbe5ead
hex19d96f0221

111022113313 has 2 divisors, whose sum is σ = 111022113314. Its totient is φ = 111022113312.

The previous prime is 111022113263. The next prime is 111022113329. The reversal of 111022113313 is 313311220111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85224292624 + 25797820689 = 291932^2 + 160617^2 .

It is a cyclic number.

It is not a de Polignac number, because 111022113313 - 29 = 111022112801 is a prime.

It is a super-2 number, since 2×1110221133132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111022113613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55511056656 + 55511056657.

It is an arithmetic number, because the mean of its divisors is an integer number (55511056657).

Almost surely, 2111022113313 is an apocalyptic number.

It is an amenable number.

111022113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

111022113313 is an equidigital number, since it uses as much as digits as its factorization.

111022113313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 111022113313 its reverse (313311220111), we get a palindrome (424333333424).

The spelling of 111022113313 in words is "one hundred eleven billion, twenty-two million, one hundred thirteen thousand, three hundred thirteen".